/* Function cos vectorized with SSE4. Copyright (C) 2014-2016 Free Software Foundation, Inc. This file is part of the GNU C Library. The GNU C Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The GNU C Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU C Library; if not, see . */ #include #include "svml_d_trig_data.h" .text ENTRY (_ZGVbN2v_cos_sse4) /* ALGORITHM DESCRIPTION: ( low accuracy ( < 4ulp ) or enhanced performance ( half of correct mantissa ) implementation ) Argument representation: arg + Pi/2 = (N*Pi + R) Result calculation: cos(arg) = sin(arg+Pi/2) = sin(N*Pi + R) = (-1)^N * sin(R) sin(R) is approximated by corresponding polynomial */ pushq %rbp cfi_adjust_cfa_offset (8) cfi_rel_offset (%rbp, 0) movq %rsp, %rbp cfi_def_cfa_register (%rbp) andq $-64, %rsp subq $320, %rsp movaps %xmm0, %xmm3 movq __svml_d_trig_data@GOTPCREL(%rip), %rax movups __dHalfPI(%rax), %xmm2 /* ARGUMENT RANGE REDUCTION: Add Pi/2 to argument: X' = X+Pi/2 */ addpd %xmm3, %xmm2 movups __dInvPI(%rax), %xmm5 movups __dAbsMask(%rax), %xmm4 /* Get absolute argument value: X' = |X'| */ andps %xmm2, %xmm4 /* Y = X'*InvPi + RS : right shifter add */ mulpd %xmm5, %xmm2 /* Check for large arguments path */ cmpnlepd __dRangeVal(%rax), %xmm4 movups __dRShifter(%rax), %xmm6 addpd %xmm6, %xmm2 movmskpd %xmm4, %ecx /* N = Y - RS : right shifter sub */ movaps %xmm2, %xmm1 /* SignRes = Y<<63 : shift LSB to MSB place for result sign */ psllq $63, %xmm2 subpd %xmm6, %xmm1 /* N = N - 0.5 */ subpd __dOneHalf(%rax), %xmm1 movups __dPI1(%rax), %xmm7 /* R = X - N*Pi1 */ mulpd %xmm1, %xmm7 movups __dPI2(%rax), %xmm4 /* R = R - N*Pi2 */ mulpd %xmm1, %xmm4 subpd %xmm7, %xmm0 movups __dPI3(%rax), %xmm5 /* R = R - N*Pi3 */ mulpd %xmm1, %xmm5 subpd %xmm4, %xmm0 /* R = R - N*Pi4 */ movups __dPI4(%rax), %xmm6 mulpd %xmm6, %xmm1 subpd %xmm5, %xmm0 subpd %xmm1, %xmm0 /* POLYNOMIAL APPROXIMATION: R2 = R*R */ movaps %xmm0, %xmm4 mulpd %xmm0, %xmm4 movups __dC7(%rax), %xmm1 mulpd %xmm4, %xmm1 addpd __dC6(%rax), %xmm1 mulpd %xmm4, %xmm1 addpd __dC5(%rax), %xmm1 mulpd %xmm4, %xmm1 addpd __dC4(%rax), %xmm1 /* Poly = C3+R2*(C4+R2*(C5+R2*(C6+R2*C7))) */ mulpd %xmm4, %xmm1 addpd __dC3(%rax), %xmm1 /* Poly = R+R*(R2*(C1+R2*(C2+R2*Poly))) */ mulpd %xmm4, %xmm1 addpd __dC2(%rax), %xmm1 mulpd %xmm4, %xmm1 addpd __dC1(%rax), %xmm1 mulpd %xmm1, %xmm4 mulpd %xmm0, %xmm4 addpd %xmm4, %xmm0 /* RECONSTRUCTION: Final sign setting: Res = Poly^SignRes */ xorps %xmm2, %xmm0 testl %ecx, %ecx jne .LBL_1_3 .LBL_1_2: cfi_remember_state movq %rbp, %rsp cfi_def_cfa_register (%rsp) popq %rbp cfi_adjust_cfa_offset (-8) cfi_restore (%rbp) ret .LBL_1_3: cfi_restore_state movups %xmm3, 192(%rsp) movups %xmm0, 256(%rsp) je .LBL_1_2 xorb %dl, %dl xorl %eax, %eax movups %xmm8, 112(%rsp) movups %xmm9, 96(%rsp) movups %xmm10, 80(%rsp) movups %xmm11, 64(%rsp) movups %xmm12, 48(%rsp) movups %xmm13, 32(%rsp) movups %xmm14, 16(%rsp) movups %xmm15, (%rsp) movq %rsi, 136(%rsp) movq %rdi, 128(%rsp) movq %r12, 168(%rsp) cfi_offset_rel_rsp (12, 168) movb %dl, %r12b movq %r13, 160(%rsp) cfi_offset_rel_rsp (13, 160) movl %ecx, %r13d movq %r14, 152(%rsp) cfi_offset_rel_rsp (14, 152) movl %eax, %r14d movq %r15, 144(%rsp) cfi_offset_rel_rsp (15, 144) cfi_remember_state .LBL_1_6: btl %r14d, %r13d jc .LBL_1_12 .LBL_1_7: lea 1(%r14), %esi btl %esi, %r13d jc .LBL_1_10 .LBL_1_8: incb %r12b addl $2, %r14d cmpb $16, %r12b jb .LBL_1_6 movups 112(%rsp), %xmm8 movups 96(%rsp), %xmm9 movups 80(%rsp), %xmm10 movups 64(%rsp), %xmm11 movups 48(%rsp), %xmm12 movups 32(%rsp), %xmm13 movups 16(%rsp), %xmm14 movups (%rsp), %xmm15 movq 136(%rsp), %rsi movq 128(%rsp), %rdi movq 168(%rsp), %r12 cfi_restore (%r12) movq 160(%rsp), %r13 cfi_restore (%r13) movq 152(%rsp), %r14 cfi_restore (%r14) movq 144(%rsp), %r15 cfi_restore (%r15) movups 256(%rsp), %xmm0 jmp .LBL_1_2 .LBL_1_10: cfi_restore_state movzbl %r12b, %r15d shlq $4, %r15 movsd 200(%rsp,%r15), %xmm0 call cos@PLT movsd %xmm0, 264(%rsp,%r15) jmp .LBL_1_8 .LBL_1_12: movzbl %r12b, %r15d shlq $4, %r15 movsd 192(%rsp,%r15), %xmm0 call cos@PLT movsd %xmm0, 256(%rsp,%r15) jmp .LBL_1_7 END (_ZGVbN2v_cos_sse4)